Vic Smith wrote:

It's simple. There are two doors left which leaves three choices. Of
the three choices, two probabilities exist that she wins the car by
switching her choice.

She switches her choice to increase the probability of winning the
car.

Doesn't make sense.
She made her choice when the odds were 2:1 against her.
Since one curtain was eliminated, the odds are now 1:1.
Changing her choice won't change the odds.
The odds changed when the first curtain was opened.
Flip a coin 10 times and it comes up heads each time.
What are the odds of heads on the 11th flip?
Same as they were on the first flip. 1:1.
Or even money for you real gamblers.
Of which Galactic guys don't qualify.
Unless you're wagering quateros on warpsnerk lightbeam racing.

--Vic

You are correct if NO one knew which curtains hide the goats and which
one hide the car, but Monty Hall knows where the goat is hidden and
where the car is hidden and will open the curtain with the goat. When
you made your first guess, you have a 2/3 chance of losing, after he
opens the curtain with the goat, if you change your choice, you now have
a 2/3 chance of winning the car. If you make a diagram of the options
it will help you visualize the options.
--

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